Pith Number

pith:H72LK2ZN

pith:2025:H72LK2ZNSWUN3BEQZRXPDPV4K5

not attested not anchored not stored refs pending

Matrix representations of the twisted virtual braid group and its extensions

Madeti Prabhakar, Mohamad N. Nasser, Vaibhav Keshari

arxiv:2506.03806 v2 · 2025-06-04 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H72LK2ZNSWUN3BEQZRXPDPV4K5}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Twin groups representations

Receipt and verification

First computed	2026-06-19T16:11:11.167041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ff4b56b2d95a8dd8490cc6ef1bebc576e856ba24434f20057a093a211fc2e27

Aliases

arxiv: 2506.03806 · arxiv_version: 2506.03806v2 · doi: 10.48550/arxiv.2506.03806 · pith_short_12: H72LK2ZNSWUN · pith_short_16: H72LK2ZNSWUN3BEQ · pith_short_8: H72LK2ZN

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/H72LK2ZNSWUN3BEQZRXPDPV4K5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3ff4b56b2d95a8dd8490cc6ef1bebc576e856ba24434f20057a093a211fc2e27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa26a2531cba3599a897b13d022973aa83fd818756db90a88fae2ecb04cb8d2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-06-04T10:27:00Z",
    "title_canon_sha256": "27083effc314ce22a6347f4585b13a05fe7e0a9f1ed97bf59dd42169d8f77a4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03806",
    "kind": "arxiv",
    "version": 2
  }
}